I think that it's a bit of a cop-out to call your site static in instances like this. You've outsourced computation to a 3rd party as well as the user's browser, as opposed to doing it on your own server. It would be dynamic if you cobbled a comment system together with some CGI scripts and an SQLite database and some server-side includes, and it's still dynamic if you abstract that into a runtime dependency on the client, because the content of the page is going to be different whenever you refresh and new comments are made.
The difference between the server-side option and the outsourced one is that the outsourced one is probably also going to soak up and resell a lot of data that you probably wouldn't have captured yourself.
The difference between the server-side option and the outsourced one is that the outsourced one is probably also going to soak up and resell a lot of data that you probably wouldn't have captured yourself.